Final(Fall06)solutions

Final(Fall06)solutions - 7. How is the line 2x- 29y = 0...

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Unformatted text preview: 7. How is the line 2x- 29y = 0 situated with respect to the point (100,7)? (Does it go through the point, above the point, or belowthe point?) Clearly explainhow you deter- mined your answer. 5% 8. Begin solving the following problems via the Simplex Method ... in each case set up the initial matrix and perform the first pivot- and read off the Basic Feasible Solution after this first pivot. (a) Maximize the function 2x+ 3y subject to the constraints: x + 2y :::;4- 3x + 2y :::;3 2x-3y :::;2 x 2: 0, y 2: 0 (b) Minimize the function 2x + 3y subject to the constraints: x + 2y 2:4- 3x + 2y :::;3 2x-3y 2: 2 x 2: 0, y 2: 0 Performjust onepivot in eachcase- and clearly denote the elementary operations that you use, and don'tforget to readoff the BFS. 15% 9. Below is the feasible region of a 2-D Linear ProgrammingProblem with which I am working (with six comer points and slopes of boundary lines as denoted). The follow- ing five questionseach asks you to providean objectivefunction ax + by with particular...
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This note was uploaded on 06/25/2008 for the course MATH 051 taught by Professor Moses during the Fall '07 term at GWU.

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Final(Fall06)solutions - 7. How is the line 2x- 29y = 0...

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